Slope Flashcard

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

What is the formula to calculate slope?

Back

The formula to calculate slope (m) is: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend.

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where there is no change in the y-value as the x-value changes.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where the x-value remains constant, resulting in a division by zero in the slope formula.

Front

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

The slope is 2.

Front

Find the slope of the line that passes through the points (4, 5) and (4, 9).

Back

The slope is undefined.

Front

If a line has a slope of -3, what does this tell you about the line?

Back

The line decreases steeply as it moves from left to right.

Front

What is the slope of a line parallel to a line with a slope of 4?

Back

The slope of a parallel line is also 4.